1 / 7

4.7: Arithmetic sequences

4.7: Arithmetic sequences. I can write a recursive formulas given a sequence. Day 1. Describe a pattern in each sequence. Then find the next two terms. 22. 7, 10, 13, 16 ___, ___, …. 19. Add 3. 48. 3, 6, 12, ___, ___, …. 24. Mult by 2. 66. 99, 88, 77, ___, ___, …. 55.

shirleycody
Download Presentation

4.7: Arithmetic sequences

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 4.7: Arithmetic sequences I can write a recursive formulas given a sequence. Day 1

  2. Describe a pattern in each sequence. Then find the next two terms. 22 7, 10, 13, 16 ___, ___, … 19 Add 3 48 3, 6, 12, ___, ___, … 24 Mult by 2 66 99, 88, 77, ___, ___, … 55 Subtract 11

  3. Arithmetic sequences: In an arithmetic sequence: The difference between each consecutive term is constant. This difference is called the common difference (d). Ex: 3, 5, 7, 9, … 2 Common difference for the above sequence:

  4. If there is a common difference, what is it? Common difference: 22 7, 10, 13, 16 ___, ___, … 19 3 48 Common difference: 3, 6, 12, ___, ___, … 24 There isn’t one. 66 99, 88, 77, ___, ___, … 55 Common difference: -11

  5. Is the following sequence arithmetic? If it is, describe the pattern. a. 5, 10, 20, 40, … no Why not: I started with 5 and then multiplied by 2 each time. b. 5, 8, 11, 14… I started with 5 and then added 3 each time. yes c. 20, 5, -10, -25, … I started with 20 and then added -15 each time. yes

  6. An ordered list of numbers defined by a starting value (number) and a rule to find the general term. Recursive Formula: first term A(1)= A(n)= General term or nth term A(n-1)= Previous term Given the following recursive formula, find the first 4 terms. 20 A(1)= 20, 26, 32, 38 A(n)= A(n-1) + 6 1st term2nd term3rd term 4th term Think: previous term + 6 Given the following recursive formula, find the first 4 terms. A(1)= -18 -18, -21, -24, -27, 1st term2nd term3rd term 4th term A(n-1) - 3 A(n)= Think: previous term -3

  7. Write a recursive formula for each sequence. (always has two parts) 7 7, 10, 13, 16, … Recursive rule: 7 A(1)= ______ A(1)= ____ +3 A(n)= A(n-1) + d A(n)= A(n-1)_____ A(1)= 7 A(n) = A(n-1) + 3 97, 87, 77, 67 … 3 3, 9,15, 21,… 3 A(1)= 3 A(n) = A(n-1) + 6 A(1)= 97 A(1)= + 6 A(n)= A(n-1) A(n)= A(n-1) - 10 Homework: pg 279: 9-35

More Related